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Finding the Fourth Proportional to 506,207.82, 760,492.71 and 295,993.38

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Solution

The fourth proportional to 506,207.82, 760,492.71 and 295,993.38 is: 444,680.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,207.82 : 760,492.71 = 295,993.38 : x
  2. Step 2: Convert to fraction form
    506,207.82/760,492.71 = 295,993.38/x
  3. Step 3: Cross multiply
    506,207.82x = 760,492.71 × 295,993.38
  4. Step 4: Simplify right side
    506,207.82x = 225,100,807,698.26
  5. Step 5: Solve for x
    x = 225,100,807,698.26/506,207.82
  6. Step 6: Final answer
    x = 444,680.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.